Hello from MrBillDoesMath!
Answer:
The first choice ( -12, 20)
Discussion:
Using matrix multiplication we find the equations:
1x + 1y = 8 (A)
2x + 3y = 36 (B)
Next, compute
2(A) - B =>
(2x + 2y) - (2x + 3y) = 2*8 - 36 =>
(2x - 2x) + ( 2y-3y) = 16 - 36 =>
-y = -20 =>
y = 20
Substituting this y value in (A) gives
x + 20 = 8 =>
x = 8 - 20 =>
x = -12
The answer is the first choice ( -12, 20)
Thank you,
MrB
The correct answer is 16/81. Hope this helps.
The height of the telephone pole = 9 / 1.5 = 6 meters
Answer:
The given congruence is false.
Step-by-step explanation:
Given : Expression 
To find : Determine whether the congruence is true or false ?
Solution :
The congruence is in the form 
where, x is the dividend
y is divisor
r is the remainder
So, We find 
We know, 10 is completely divide by 5 and we get quotient is 2 and remainder is 0.
As 
Therefore, The given congruence is false.
Total number of sections on the spinner = 4
So there can be 4 outcomes on 1 spin of the arrow on the arrow.
Number of faces of the cube = 6
So there can be 6 outcomes on rolling of the dice.
For each outcome of the spinner, there can be 6 outcomes of rolling a dice. So for 4 outcomes of the spinner, there will be 6 x 4 = 24 outcomes in total.
For example, WW and either of {1,2,3,4,5,6} can occur. This makes folloiwng 6 outcomes: WW1, WW2, WW3, WW4, WW5 and WW6
Same goes for XX (6 outcomes), YY (6 outcomes) and ZZ (6 outcomes)
Thus in total there will be 24 outcomes.
So option j gives the correct answer
